The Household Income in a Certain Community Is Known to Have

Short Answer

The household income in a certain community is known to have a right skewed distribution with a mean of $42,000 and a standard deviation of $5,000. Without knowing the exact distribution we cannot find the probability that a randomly selected household has a yearly income less than $41,000. Suppose we randomly sample 80 incomes from this population, what is the (approximate) probability that the average income in the sample is less than $41,000?